Institute for Mathematical Sciences

Preprint ims92-10

G. Swiatek
Hyperbolicity is Dense in the Real Quadratic Family.

Abstract: It is shown that for non-hyperbolic real quadratic polynomials topological and quasisymmetric conjugacy classes are the same. By quasiconformal rigidity, each class has only one representative in the quadratic family, which proves that hyperbolic maps are dense.

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